Question

Aratati ca : $\frac{2}{ \sqrt{3} -1} -1 =1$

Answer 1

[tex] \frac{^{ \sqrt{3} )}2}{ \sqrt{3} -1} -1=1\\\\ = \frac{2 \sqrt{3} }{ \sqrt{3^2} -1}-1\\\\ = \frac{2 \sqrt{3} }{3-1} -1\\\\ = \frac{2 \sqrt{3} }{2} -1(simplificam~2~cu~2)\\\\ = \sqrt{3} -1 => \frac{2}{ \sqrt{3}-1 } -1 \neq 1 ~~~~ci ~~~ \frac{2}{\sqrt{3}-1}=\sqrt{3} -1 [/tex]